Metrics for nonlinear model updating in structural dynamics

Silva, Samuel da; Cogan, Scott; Foltête, Emmanuel; Buffe, Fabrice

doi:10.1590/s1678-58782009000100005

Cited by 22 publications

(7 citation statements)

References 14 publications

(14 reference statements)

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“…Vismara et al [100] updated the finite element model of the flap of the intermediate experimental space vehicle using the RFS model. da Silva et al [94] compared the performance of two metrics based on the HB, one using the CRE, two using the RFS and one computing the POD for nonlinear model updating. According to their conclusion, in the case of strong non-linearity only the RFS method is able to update correctly the model.…”

Section: Restoring Force Surface (Rfs)mentioning

confidence: 99%

“…Three different approaches suitable for single degree of freedom nonlinear systems are illustrated in this section: the harmonic balance (HB), Volterra series in the frequency domain and the restoring force surface (RFS). A more in depth description of other error metrics can be found in the paper [94].…”

Section: Example Of Error Estimation: Symmetric Duffing Oscillatormentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear updating method: a review

Bussetta

Silva

2017

J Braz. Soc. Mech. Sci. Eng.

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Section: Restoring Force Surface (Rfs)mentioning

confidence: 99%

Section: Example Of Error Estimation: Symmetric Duffing Oscillatormentioning

confidence: 99%

Nonlinear updating method: a review

Bussetta

Silva

2017

J Braz. Soc. Mech. Sci. Eng.

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“…Although these methods appear to be adequate for locating and quantifying damage when significant damage is induced in the structure, they are not sufficient for updating the parameters that govern nonlinear behavior of RC structures. [10][11][12][13] Therefore, these methods are not appropriate for determining future performance of the structure. In this regard, Zhang and Guo combined the proper orthogonal decomposition with a design of experiments to update nonlinear material parameters based on strain measurements with uncertainty consideration.…”

Section: Introductionmentioning

confidence: 99%

“…However, the decomposition is essentially a linear tool, and there are some difficulties that must be overcome in the future. 10 On the other hand, Song et al 11 proposed a nonlinear model updating method for a RC shear wall. A nonlinear hysteretic material model 15 was first applied to construct a nonlinear FE model of the RC shear wall so that the fundamental hysteretic behavior of the RC shear wall could be portrayed accurately.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear model updating of a reinforced concrete pedestrian cable‐stayed bridge

Zheng

2019

Struct Control Health Monit

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Strong earthquakes often cause different levels of damage to reinforced concrete (RC) bridges. The identification of their damage state and the prediction of their future seismic performance are thus necessary for hazard rescue and damage retrofit. To achieve this objective, the nonlinear model and the nonlinear model updating of the bridges are needed. This paper presents a fiber frame element-based nonlinear model and a new nonlinear model updating method for a RC pedestrian cable-stayed bridge. The fiber frame element-based nonlinear model is established in OpenSees, accounting for both material and geometric nonlinearities. The evolution principles of envelop curves, together with hysteretic rules with respect to reloading and unloading paths for both concrete and reinforcement materials, are considered. The new nonlinear model updating method is developed in the time domain, utilizing both global and local structural responses. The new updating method can evaluate not only time-dependent strength degradation but also time-dependent stiffness deterioration so that the current damage state of the bridge can be identified and the future seismic performance and damage state can be predicted. Finally, shake table tests were carried out on the 1:12 scaled RC pedestrian cable-stayed bridge, and the comparison of the predicted global and local seismic responses of the bridge with the measured ones confirms the accuracy and effectiveness of the proposed nonlinear modelling and model updating methods. KEYWORDS fiber frame element, nonlinear modeling, nonlinear model updating, RC pedestrian cable-stayed bridge, shake table tests | INTRODUCTIONReinforced concrete (RC) bridges are the most vital and basic infrastructures playing a crucial role in earthquake crisis management, but earthquakes often cause different levels of damage to RC bridges because RC bridge structures have less redundancy and thus fewer alternative load paths compared with RC building structures. 1-3 How to identify the damage state of a bridge after an earthquake and predict its seismic performance to future earthquake are an important task in the seismic performance assessment of the RC bridges.To accomplish the damage identification and seismic performance prediction of a RC bridge, an accurate finite element (FE) model of the bridge is necessary, and a FE model-based damage identification method is needed. There are many FE model-based damage identification methods available, most of which use changes in dynamic characteristics

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“…A solution to overcome this drawback is to use a clustering technique, for example fuzzy c-means clustering or Loyd algorithm, to separate the data into groups and then to apply the POD to each cluster so as to preserve the character of the nonlinear effects [6]. Silva et al [7] proposed a comparative study between these different classical metrics for nonlinear model updating based on vibration test data. Four approaches in the frequency and time domain were implemented: harmonic balance method, constitutive relation error, restoring force surface and Karhunen-Loè ve decomposition.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear identification in structural dynamics based on Wiener series and Kautz filters

Silva

Cogan

Foltête

2010

Mechanical Systems and Signal Processing

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The present paper proposes a method to identify localized nonlinear parameters in structural dynamics using vibration data. The approach is based on the identification of the first and second-order Volterra kernels in an orthogonal basis, namely Wiener kernels, while taking the experimental data as exact values. The focus is to identify an already localized nonlinearity with known structure. An optimization procedure is implemented using a metric involving the difference between the experimental kernel and the simulated orthogonal kernel from model updating, which is function of the unknown nonlinear parameters. In order to reduce the problems of convergence, the Kautz filter is used to decrease the number of samples to estimate. The proposed methodology is illustrated on a numerical example using a cantilever beam and its advantages and drawbacks are discussed in detail.

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Metrics for nonlinear model updating in structural dynamics

Cited by 22 publications

References 14 publications

Nonlinear updating method: a review

Nonlinear updating method: a review

Nonlinear model updating of a reinforced concrete pedestrian cable‐stayed bridge

Nonlinear identification in structural dynamics based on Wiener series and Kautz filters

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